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Finding the Third Proportional to 45,542 and 97,132

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Solution

The third proportional to 45,542 and 97,132 is: 207,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,542 : 97,132 = 97,132 : x
  2. Step 2: Convert to fraction form
    45,542/97,132 = 97,132/x
  3. Step 3: Cross multiply
    45,542x = 97,132 × 97,132
  4. Step 4: Simplify right side
    45,542x = 9,434,625,424
  5. Step 5: Solve for x
    x = 9,434,625,424/45,542
  6. Step 6: Final answer
    x = 207,163.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.